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Finding the Fourth Proportional to 46,754.88, 70,133.76 and 20,446.08

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Solution

The fourth proportional to 46,754.88, 70,133.76 and 20,446.08 is: 30,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,754.88 : 70,133.76 = 20,446.08 : x
  2. Step 2: Convert to fraction form
    46,754.88/70,133.76 = 20,446.08/x
  3. Step 3: Cross multiply
    46,754.88x = 70,133.76 × 20,446.08
  4. Step 4: Simplify right side
    46,754.88x = 1,433,960,467.66
  5. Step 5: Solve for x
    x = 1,433,960,467.66/46,754.88
  6. Step 6: Final answer
    x = 30,669.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.